3. The attempt at a solution
Under LT
[tex]
e'^{ijkl}=\frac{\partial x'^i}{\partial x^q} \frac{\partial x'^j}{\partial x^r} \frac{\partial x'^k}{\partial x^s} \frac{\partial x'^l}{\partial x^t} e^{qrst}[/tex]
I got that
[tex]\begin{eqnarray}
e'^{0123}&=&1 \\
e'^{1023}&=& -1 \\
e'^{0132}&=& -1 \\
e'^{1032}&=& 1
\end{eqnarray}
[/tex]
After doing these first few terms, I'm seeing through induction that [itex]e'^{ijkl}=e^{qrst}[/itex]. Which is what we want for a tensor, right? A pseudotensor should depend on the determinate of [itex]e'^{ijkl}[/itex]. What am I missing??